Pre-Algebra Examples

 $\begin{array}{r} r = & 0.25 \end{array}$

Step 1

The volume of a sphere is equal to $\frac{4}{3}$ times Pi $π$ times the radius cubed.

$\frac{4}{3} \cdot π \cdot {(r a d i u s)}^{3}$

Step 2

Substitute the value of the radius $r = 0.25$ into the formula to find the volume of the sphere. Pi $π$ is approximately equal to $3.14$ .

$\frac{4}{3} \cdot π \cdot {0.25}^{3}$

Step 3

Combine $\frac{4}{3}$ and $π$ .

$\frac{4 π}{3} \cdot {0.25}^{3}$

Step 4

Raise $0.25$ to the power of $3$ .

$\frac{4 π}{3} \cdot 0.015625$

Step 5

Cancel the common factor of $0.015625$ .

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Step 5.1

Factor $0.015625$ out of $3$ .

$\frac{4 π}{0.015625 (192)} \cdot 0.015625$

Step 5.2

Cancel the common factor.

$\frac{4 π}{0.015625 \cdot 192} \cdot 0.015625$

Step 5.3

Rewrite the expression.

$\frac{4 π}{192}$

Step 6

Cancel the common factor of $4$ and $192$ .

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Step 6.1

Factor $4$ out of $4 π$ .

$\frac{4 (π)}{192}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $4$ out of $192$ .

$\frac{4 π}{4 \cdot 48}$

Step 6.2.2

Cancel the common factor.

$\frac{4 π}{4 \cdot 48}$

Step 6.2.3

Rewrite the expression.

$\frac{π}{48}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{π}{48}$

Decimal Form:

$0.06544984 \dots$